Fill in the blanks in the following table.
Addition | Substraction | Multiplication | Division | |
---|---|---|---|---|
Rational Numbers | Yes | Yes | ... | No |
Integers | ... | Yes | ... | No |
Whole Numbers | ... | ... | Yes | ... |
Natural Numbers | ... | No | ... | ... |
It can be seen that rational numbers, integers, whole numbers, and natural numbers are not closed under division because zero is included in these numbers. Any number divided by zero is not defined.
Addition | Substraction | Multiplication | Division | |
---|---|---|---|---|
Rational Numbers | Yes | Yes | Yes | No |
Integers | Yes | Yes | Yes | No |
Whole Numbers | Yes | No | Yes | No |
Natural Numbers | Yes | No | Yes | Yes |